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Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

At the heart of this artistic endeavor is the concept that mathematical equations can be visualised ... proving that, indeed, math can be a work of art.

An augmented stochastic differential equation of Itȏs type has been constructed while the control objective has been equated to minimization of the expected quadratic cost function. A model-dependent ...

I think that quantum computers will help to solve the world’s most complex problems. These machines will be able to do massive computations that were impossible with conventional methods ...

This shift is disrupting the entire linear TV market. According to statistics, the majority of linear television viewers fall into the category of older audiences, typically aged 35 or older. Turning ...

Dusana Dorjee received funding for her research from the British Academy, ESRC, UKRI Innovate UK and Mind & Life Institute. She is a co-director of a community interest company providing training ...

Partial Differential Equations ... called Maxwell equations. In the general theory of relativity, Einstein field equations form a system of non-linear PDEs which relate the spacetime geometry ...

Abstract: In this paper, we focus on a type of linear-quadratic (LQ) mean-field game of stochastic differential equation (SDE) with terminal state constraint and common ... is an $\epsilon$-Nash ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...